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Lookup NU author(s): Professor Carlo Barenghi,
Dr David Samuels
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New measures of algebraic, geometric and topological complexity are introduced and tested to quantify morphological aspects of a generic tangle of filaments. The tangle is produced by standard numerical simulation of superfluid helium turbulence, which we use as a benchmark for numerical investigation of complex systems. We find that the measures used, based on crossing number information, are good indicators of generic behaviour and detect accurately a tangle's complexity. Direct measurements of kinetic helicity are found to be in agreement with the other complexity-based measures, proving that helicity is also a good indicator of structural complexity. We find that complexity-based measure growth rates are consistently similar to one another. The growth rate of kinetic helicity is found to be twice that of energy. © 2001 Elsevier Science B.V. All rights reserved.
Author(s): Barenghi CF, Ricca RL, Samuels DC
Publication type: Article
Publication status: Published
Journal: Physica D: Nonlinear Phenomena
ISSN (print): 0167-2789
ISSN (electronic): 1872-8022
Publisher: Elsevier BV
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